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Don't be confused (Posted on 2016-11-14)

If x satisfy the equation x^4 - x^2 + 1 = 0 , find the value of x^5 + 1/x

No Solution Yet Submitted by Danish Ahmed Khan

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Solution

| Comment 2 of 5 |

Multiply both sides of x^4 - x^2 + 1 = 0 by (x^2 + 1) to get x^6 + 1 = 0.

Then rearrange x^6 + 1 = 0 into x^5 = -1/x.

Then x^5 + 1/x = -1/x + 1/x = 0.

Posted by Brian Smith on 2016-11-14 11:13:44

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